Self-similar imperfect fluid cosmologies and the formation of primordial black holes

Details Self-similar imperfect fluid cosmologies and the formation of primordial black holes Self-similar imperfect fluid cosmologies and the formation of primordial black holes

Oct 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992ap%26ss.196..207a&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 196, no. 2, p. 207-222.

Astronomy and Astrophysics

Astronomy

1

Anisotropic Media, Black Holes (Astronomy), Cosmology, Similarity Theorem, Viscous Fluids, Field Theory (Physics), Real Gases, Stellar Mass Accretion

Scientific paper

Similarity methods are applied to the study of anisotropic space-times with an imperfect fluid as source. The fluid description of the cosmology is chosen to include the dissipative processes of shear and bulk viscosity. In order to obtain a self-similar description of such a fluid we impose certain conditions upon the form of the viscous coefficients. This allows a degree of tractability but restricts the physical significance of the models. Numerical solutions are found for which the matter distribution acts as a fluid admitting the relationship (equation of state) T super 11 = -T super 00. The existence of black-hole similarity solutions in such an anisotropic universe is discussed. It is found that a phase-changing hypersurface is required in order to facilitate the formation of an event horizon. The energy density of our solutions vanishes on this hypersurface, and consequently we consider the evolution of ingoing null geodesics to the black-hole event horizon. The mass accretion rate and subsequent growth of the black holes after formation is investigated.

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